Home
Class 12
MATHS
If in a triangle (1-(r(1))/(r(2)))(1-(r(...

If in a triangle `(1-(r_(1))/(r_(2)))(1-(r_(1))/(r_(3)))=2`, then the triangle is

A

equilateral

B

isosceles

C

right. angled

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (4)(TRUE AND FALSE)|9 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (4)(FILL IN THE BLANKS)|3 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (3)(FILL IN THE BLANKS)|2 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC,if (1-(r_(1))/(r_(2)))(1-(r_(2))/(r_(3)))=2 then the triangle is

In triangle ABC,If(1-(r)/(r_(2)))(1-(r_(2))/(r_(3)))=2 then the triangle is

If in a triangle (r)/(r_(1)) = (r_(2))/(r_(3)) , then

Prove that a triangle is right angled if (1-(r_(1))/(r_(2)))(1-(r_(1))/(r_(3))) = 2

In a triangle ' ABC,r_(-)1

In a triangle ABC,(r_(1)-r)/(a)+(r_(2)-r)/(b)+(r_(3)-r)/(c)=

In triangle ABC,(r_(3)+r_(1))sqrt([(rr_(2))/(r_(3)r_(1))])=

In a triangle ABC, if (r_(1)+r_(2))(r_(2)+r_(3))(r_(3)+r_(1))4RK then k=

If in a triangle ABC, r_(1)+r_(2)+r_(3)=9r , then the triangle is necessarily

ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (4)(MULTIPLE CHOICE QUESTIONS)
  1. In A B C ,(a b-r1r2)/(r3),w h e r ea ,b ,r1r2, r3, Randr have usual me...

    Text Solution

    |

  2. Value of the expression (b-c)/(r1)+(c-a)/(r2)+(a-b)/(r3) is equal to 1...

    Text Solution

    |

  3. If in a triangle (1-(r(1))/(r(2)))(1-(r(1))/(r(3)))=2, then the trian...

    Text Solution

    |

  4. If the sides of a triangle are in A.P. as well as in G.P. then the val...

    Text Solution

    |

  5. If r1=r2+r3+r prove that the triangle is right angled .

    Text Solution

    |

  6. If in Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle ABC...

    Text Solution

    |

  7. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

    Text Solution

    |

  8. If r1 , r2 , r3 in a triangle be in H.P. then the sides are

    Text Solution

    |

  9. The hormonic mean of r1 ,r2, r3 is

    Text Solution

    |

  10. In a triangle if angleC=90^@ " then " R+r=

    Text Solution

    |

  11. In DeltaABC," if " angleC=90^(@)," then " (a+c)/(b)+(b+c)/(a) is equal...

    Text Solution

    |

  12. The in- radius of the triarigle formed by the axes and the line 4x + 3...

    Text Solution

    |

  13. In a triangle ABC , let angleC=(pi)/2. If r is the in-radius and R is ...

    Text Solution

    |

  14. In a triangle ABC right angled at B, the inradius r is equal to

    Text Solution

    |

  15. In an acute angled triangle which one of the following is true

    Text Solution

    |

  16. Two sides of a triangle are 2 and sqrt3 and the included angle is 30^@...

    Text Solution

    |

  17. Two sides of a triangle are the roots of the equation x^2 - 5x +6=0. I...

    Text Solution

    |

  18. In a triangle ABC if r1=R, then

    Text Solution

    |

  19. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

    Text Solution

    |

  20. Which of the following pieces of data does not uniquely determine an a...

    Text Solution

    |